SSC CGL Quantitative Aptitude : 14th February 2020 for Mensuration

Q1. ABCD is a rectangle. Both the circles have same radius.

Find the length of PQ?
(a) 8 cm
(b) 6 cm
(c) 9 cm
(d) 10 cm

Q2. A pyramid with trapezium base of side AB = 15 cm, BC = 18 cm CD = 9 cm and DA = 12 cm. The volume of pyramid is 1674 cm³. Find the height of pyramid?
(a) 27 cm
(b) 31 cm
(c) 29 cm
(d) 33 cm

Q3. The hollow right circular cylinder of height 28 cm has volume 2464 cm³. If the outer radius of the cylinder is 8 cm. Find the total surface area of the cylinder (cm²)
(a) 2640
(b) 2340
(c) 2930
(d) 3030

Q4. A cube is placed inside a cone of radius 20 cm and height 20 cm, one of its faces being on the base of the cone and vertices of opposite face touching slant surface of the cone. What is the length (in cm aprox.) of side of the cube?
(a) 12 cm
(b) 8 cm
(c) 16 cm
(d) 32 cm

Q5. The two sides of a trapezium ABCD are given as AB 6 cm and CD 8 cm. A circum-circle of radius 5 cm is drawn in such a way that the two sides are not on same side of the centre : (Given AB ∥ CD) then find the area of the given trapezium ABCD (cm2).
(a) 48
(b) 49
(c) 72
(d) 50

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Q6. An ant sitting on one corner of cuboid-shaped room of length 8 meters, breadth 9 meters& height 6 meters. Then find the shortest length (Approx. length in m) of the path, which it should follow to reach the diagonally opposite corner of the room.
(a) 19
(b) 22
(c) 17
(d) 15

Q7. The volume of a cuboid is and its height is 5 cm while the length and the breadth of the cuboid are in the ratio 8 : 7. The length of this cuboid exceeds the breadth by
(a) 2 cm
(b) 4 cm
(c) 7 cm
(d) 5 cm

Q8. The length of a rectangular blackboard is 8 m more than that of its breadth. If its length is increased by 7 m and its breadth is decreased by 4 m, its area remains unchanged. The length and breadth of the rectangular blackboard is
(a) 24 m, 16 m
(b) 20 m, 24 m
(c) 28 m, 20 m
(d) 28 m, 16 m

Q9. of metal is used to cast a pipe of length 28 cm. If the internal radius of the pipe is 8 cm, the outer radius of the pipe is
(a) 7 cm
(b) 10 cm
(c) 9 cm
(d) 12 cm

Q10. The volume of a rectangular block of stone is its dimensions are in the ratio of 3 : 2 : 1. If its entire surface is polished at 2 paise per then what is the total cost?
(a) Rs. 31.68
(b) Rs. 31.50
(c) Rs. 63
(d) Rs. 63.36